Publications (4)
A Systematic Framework for Stable and Cost-Efficient Matrix Polynomial Evaluation
J. M. Alonso, J. Sastre, J. Ibáñez +1
A method for evaluating matrix polynomials have recently been developed that require one fewer matrix product () than the Paterson--Stockmeyer (PS) method. Since the computatio…
Cubic-matrix splines and second-order matrix models
M. M. Tung, L. Soler, E. Defez +1
We discuss the direct use of cubic-matrix splines to obtain continuous approximations to the unique solution of matrix models of the type . For numerical illust…
A MATLAB Tool for the Stable Generation of Matrix Polynomial Evaluation Schemes with Two-Product Savings
J. Ibáñez, J. Ibáñez, J. Sastre +2
The paper introduces a MATLAB tool that automatically generates stable evaluation schemes for high-degree matrix polynomials, achieving a reduction of two matrix multiplications co…
Numerical Solutions of Matrix Differential Models using Cubic Matrix Splines II
E. Defez, A. Hervas, L. Soler +1
This paper presents the non-linear generalization of a previous work on matrix differential models. It focusses on the construction of approximate solutions of first-order matrix d…